4591120 has 20 divisors (see below), whose sum is σ = 10674540. Its totient is φ = 1836416.

The previous prime is 4591117. The next prime is 4591121. The reversal of 4591120 is 211954.

It can be written as a sum of positive squares in 2 ways, for example, as 2471184 + 2119936 = 1572^2 + 1456^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 4591091 and 4591100.

It is not an unprimeable number, because it can be changed into a prime (4591121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28615 + ... + 28774.

It is an arithmetic number, because the mean of its divisors is an integer number (533727).

Almost surely, 2^4591120 is an apocalyptic number.

4591120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4591120 is an abundant number, since it is smaller than the sum of its proper divisors (6083420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4591120 is a wasteful number, since it uses less digits than its factorization.

4591120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57402 (or 57396 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 4591120 is about 2142.6898982354. The cubic root of 4591120 is about 166.2032638522.

The spelling of 4591120 in words is "four million, five hundred ninety-one thousand, one hundred twenty".